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Finding the Fourth Proportional to 313,574.57, 432,793.55 and 204,489.51

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Solution

The fourth proportional to 313,574.57, 432,793.55 and 204,489.51 is: 282,235.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,574.57 : 432,793.55 = 204,489.51 : x
  2. Step 2: Convert to fraction form
    313,574.57/432,793.55 = 204,489.51/x
  3. Step 3: Cross multiply
    313,574.57x = 432,793.55 × 204,489.51
  4. Step 4: Simplify right side
    313,574.57x = 88,501,739,948.21
  5. Step 5: Solve for x
    x = 88,501,739,948.21/313,574.57
  6. Step 6: Final answer
    x = 282,235.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.